Numerical simulation study on S-S mode magnetoelectric laminated composites

Numerical simulation plays a significant role in the vibration analysis of piezoelectric and magnetostrictive materials. However, due to the complex coupling mechanisms inherent in magnetoelectric (ME) laminated composites, its application in this field remains relatively limited. COMSOL Multiphysics, a powerful and efficient simulation tool, has demonstrated exceptional performance in investigating parameter variations, frequency-dependent effects, and vibration mode extraction in such materials. This study focuses on the vibration characteristics of shear-shear (S-S) mode ME laminated composites. Based on the existing equivalent circuit theory, COMSOL software was used to analyze the frequency-dependent trends of the direct magnetoelectric (DME) and converse magnetoelectric (CME) coefficients for both trilayer and bilayer ME structures, along with their vibration modes at resonance peaks. It is obvious that under identical component ratios and twice the total thickness, the trilayer and bilayer structures exhibit nearly identical resonance frequencies, and the maximum peak is in the shear vibration mode. The symmetrical design of the trilayer structure enhances the synergistic interaction between the magnetostrictive and piezoelectric phases, resulting in a higher DME effect. In contrast, the bilayer structure demonstrates superior output performance in terms of the CME effect. The numerical simulation results align well with theoretical predictions, with consistent vibration modes and frequency response curves. This agreement validates the effectiveness of the proposed simulation method and provides a foundation for further nonlinear theoretical analysis.